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Finding the Fourth Proportional to 230,585.58, 318,356.16 and 144,662.38

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Solution

The fourth proportional to 230,585.58, 318,356.16 and 144,662.38 is: 199,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,585.58 : 318,356.16 = 144,662.38 : x
  2. Step 2: Convert to fraction form
    230,585.58/318,356.16 = 144,662.38/x
  3. Step 3: Cross multiply
    230,585.58x = 318,356.16 × 144,662.38
  4. Step 4: Simplify right side
    230,585.58x = 46,054,159,793.26
  5. Step 5: Solve for x
    x = 46,054,159,793.26/230,585.58
  6. Step 6: Final answer
    x = 199,726.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.